The usual local central limit theorem provides an approximation for the probability for an iid sequence . The approximation is proportional to the lattice size of the underlying distribution of the ...

This is a preview. Log in through your library . Abstract Through the study of a simple embedded martingale we obtain an extension of the Kesten-Stigum theorem and prove a central limit theorem for ...

Animator Shuyi Chiou and the folks at CreatureCast give an adorable introduction to the central limit theorem – an important concept in probability theory that can reveal normal distributions (i.e.

This is a preview. Log in through your library . Abstract For each $k = 1, 2, \cdots$ let $n = n(k)$, let $m = m(k)$, and suppose $y_1^k, \cdots, y_n^k$ is an $m ...

Using the central limit theorem concerning the distribution of means allows one to justify the assumption of the normal distribution. Analytical people tend not to worry too much about the nature of ...

The Central Limit Theorem is a statistical concept applied to large data distributions. It says that as you randomly sample data from a distribution, the means and standard deviations of the samples ...